Search a number
-
+
47294520 = 23357136171
BaseRepresentation
bin1011010001101…
…0100000111000
310021222210212220
42310122200320
544101411040
64405404040
71112665620
oct264324070
9107883786
1047294520
1124773089
1213a09620
139a4bb30
1463d1880
1542432d0
hex2d1a838

47294520 has 256 divisors, whose sum is σ = 179988480. Its totient is φ = 9676800.

The previous prime is 47294519. The next prime is 47294521. The reversal of 47294520 is 2549274.

It is an interprime number because it is at equal distance from previous prime (47294519) and next prime (47294521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47294521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666085 + ... + 666155.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 247294520 is an apocalyptic number.

47294520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47294520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47294520 is an abundant number, since it is smaller than the sum of its proper divisors (132693960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47294520 is a wasteful number, since it uses less digits than its factorization.

47294520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 47294520 is about 6877.1011334719. The cubic root of 47294520 is about 361.6348484636.

The spelling of 47294520 in words is "forty-seven million, two hundred ninety-four thousand, five hundred twenty".